Answer to Question #62080 in Linear Algebra for ABHIJIT MOHANTY

Question

Let (x1,x2,x3) and (y1,y2,y3) represent the coordinates with respect to the bases
B1 = {(1, 0, 0),(0, 1, 0),(0, 0, 1)}, B2 = {(1, 0, 0),(0, 1, 2),(0, 2, 1)}. If
Q(X) = 2x1^2+ 2x1x2 − 2x2x3 +x2^2+x3^2, find the representation of Q in terms of
(y1,y2,y3).